468834638800 has 120 divisors (see below), whose sum is σ = 1237021495200. Its totient is φ = 169340889600.

The previous prime is 468834638759. The next prime is 468834638803. The reversal of 468834638800 is 8836438864.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (468834638803) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 298039 + ... + 1013161.

It is an arithmetic number, because the mean of its divisors is an integer number (10308512460).

Almost surely, 2^468834638800 is an apocalyptic number.

468834638800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 468834638800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (618510747600).

468834638800 is an abundant number, since it is smaller than the sum of its proper divisors (768186856400).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

468834638800 is a wasteful number, since it uses less digits than its factorization.

468834638800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 715301 (or 715290 counting only the distinct ones).

The product of its (nonzero) digits is 21233664, while the sum is 58.

The spelling of 468834638800 in words is "four hundred sixty-eight billion, eight hundred thirty-four million, six hundred thirty-eight thousand, eight hundred".